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Express each of the following numbers in...

Express each of the following numbers in the form `p/q` 0.15 (ii) 0.675 (iii) 0.00026

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To express the given decimal numbers in the form \( \frac{p}{q} \), we will follow a systematic approach for each number. ### (i) Converting 0.15 to \( \frac{p}{q} \) 1. **Identify the decimal places**: The number 0.15 has 2 decimal places. 2. **Remove the decimal**: To eliminate the decimal, we can multiply the number by \( 100 \) (which is \( 10^2 \) because there are 2 decimal places). \[ 0.15 \times 100 = 15 ...
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RD SHARMA-NUMBER SYSTEM-All Questions
  1. Express the following rational numbers as decimals: (i)2/3 (ii) -4/9 ...

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  2. Look at several examples of rational numbers in the form p/q(q!=0), ...

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  3. Express each of the following numbers in the form p/q 0.15 (ii) 0....

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  4. Express each of the following numbers in the form p/q 15.75 (ii) 8...

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  5. Express each of the following decimals in the for p/q 1)0. 1 (ii...

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  6. Express each of following decimals in the form p/q (i) 0. bar4 (ii)0....

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  7. Express each of the following decimals in the for p/q 0. 35 (ii)...

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  8. Show that 1.272727....=1.bar27 can be expressed in the form p/q , whe...

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  9. Express 0. 001 as a fraction in the simplest form.

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  10. Convert the following decimal number in the form p/q 5.bar(2) 23.bar...

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  11. If 1/7=0. 142857 , write the decimal expression of 2/7,3/7,4/7,5/7a ...

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  12. Express the following decimals in the form p/q (i) 0. 3 2 (ii) 0. ...

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  13. Express each of the following mixed recurring decimals in the form p...

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  14. Show that 0. 2353535......=0.2bar35 can be expressed in the form p/q ...

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  15. Prove that sqrt(2) is not a rational number.

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  16. Prove that sqrt 3 is an irrational number.

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  17. Prove that sqrt(n) is not a rational number. if n is not a perfect squ...

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  18. Give examples of two irrational numbers the product of which is: (i)...

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  19. The product of sqrt(2)\ a n d\ sqrt(3) is sqrt(6) , which is an irrati...

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  20. Insert a rational and an irrational number between 2 and 3.

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